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I want to learn about multivariate orthogonal polynomials. Is there a good textbook/survey that you could suggest? I need to see common examples like Jack's polynomials etc .. and also general theorems.

Thanks in advance.

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  • $\begingroup$ Are you looking for representation-theoretical polynomials (Such as Jack, Macdonald, Schur), or of other types (Chebyshev, Koornwinder, Laguerre)? $\endgroup$
    – Per Alexandersson
    Mar 18, 2015 at 19:01
  • $\begingroup$ I don't know apriori. If there would be reference(s) to learn basics of both that would be great. $\endgroup$
    – alpx
    Mar 18, 2015 at 19:14

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The only book fully dedicated to the topic seems to be "Orthogonal Polynomials of Several Variables", by Charles F. Dunkl and Yuan Xu. Cambridge University Press, 2001

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  • $\begingroup$ I recommend this also. $\endgroup$
    – Per Alexandersson
    Mar 19, 2015 at 13:59
  • $\begingroup$ I've started looking at it and it looks like a good book so far. Thanks! $\endgroup$
    – alpx
    Mar 21, 2015 at 19:26

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